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Finding the Fourth Proportional to 624.98, 937.27 and 259.67

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Solution

The fourth proportional to 624.98, 937.27 and 259.67 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.98 : 937.27 = 259.67 : x
  2. Step 2: Convert to fraction form
    624.98/937.27 = 259.67/x
  3. Step 3: Cross multiply
    624.98x = 937.27 × 259.67
  4. Step 4: Simplify right side
    624.98x = 243,383.57
  5. Step 5: Solve for x
    x = 243,383.57/624.98
  6. Step 6: Final answer
    x = 389.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.